Atkin-Lehner |
2- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
94864bc |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
64365370852507648 = 223 · 78 · 113 |
Discriminant |
Eigenvalues |
2- -1 4 7+ 11+ 3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-972176,369070528] |
[a1,a2,a3,a4,a6] |
j |
3233229419/2048 |
j-invariant |
L |
4.1443419146954 |
L(r)(E,1)/r! |
Ω |
0.34536182637637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858v1 94864bs1 94864bd1 |
Quadratic twists by: -4 -7 -11 |